Half of 100 items were sold at a profit of 20 | vedclass

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Question

(C) Let the cost price of each item be $x$.There are $100$ items in total,so $50$ items were sold at $20 \%$ profit and $50$ items were sold at $40 \%

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(C) Let the cost price of each item be $x$.There are $100$ items in total,so $50$ items were sold at $20 \%$ profit and $50$ items were sold at $40 \%$ profit.In the first case,the total profit $= (50 	imes 0.20x) + (50 	imes 0.40x) = 10x + 20x = 30x$.In the second case,if all $100$ items were sold at $25 \%$ profit,the total profit $= 100 	imes 0.25x = 25x$.According to the problem,$30x - 25x = 100$.$5x = 100$.$x = 20$.Therefore,the cost price of each item is $Rs. 20$.

Half of $100$ items were sold at a profit of $20 \%$ and the remaining were sold at a profit of $40 \%$. If all the items were sold at a profit of $25 \%$,the total profit would have been $Rs. 100$ less than the previous profit. What was the cost price (in $Rs.$) of each item?

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